10. Refer to the figure at the right. At a =0.05, can you reject the claim that the proportion of 18 to 24-year-olds living in their parents' homes in 2000 was the same for men and women? Assume the survey included a random sample of 264 men and 256 women. Percentage of 18- to 24-year olds living in parents' homes 70-61.4% 56.1% 38.9% 39.8% 2000 2012 O Men O Women Identify the null and altemative hypotheses. Choose the correct answer below. O A. Ho: P1 P2 Ha: P1 =P2 O B. Ho: P1 > P2 Hg: P1 SP2 OC. Ho: P1 P2 O D. Ho: P1 = P2 Ha: P1 P2 Find the critical value(s). The critical value(s) is(are) (Round to two decimal places as needed. Use a comma to separate answers as needed.) Find the standardized test statistic. (Round to two decimal places as needed.) Can you reject the claim that the proportion of 18 to 24-year-olds living in their parents' homes was the same for men and women in 2000? (1) – at the 5% significance level, there is (2). evidence to (3) - the claim. (1) O Yes O No (3) O support O reject (2) O insufficient sufficient

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 26PFA
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10. Refer to the figure at the right. At a =0.05, can you reject the claim
that the proportion of 18 to 24-year-olds living in their parents' homes
in 2000 was the same for men and women? Assume the survey
included a random sample of 264 men and 256 women.
Percentage of 18- to 24-year olds living
in parents' homes
70-61.4%
56.1%
39.8%
38.9%
2000
2012
Men
Women
Identify the null and altenative hypotheses. Choose the correct answer below.
O A. Ho: P1 #P2
Ha: P1 = P2
O B. Ho: P1 > P2
Ha: P1 SP2
OC. Ho:P1 <P2
OD. Ho: P1 = P2
Ha: P1 #P2
Ha: P1>P2
Find the critical value(s).
The critical value(s) is(are)
(Round to two decimal places as needed. Use a comma to separate answers as needed.)
Find the standardized test statistic.
(Round to two decimal places as needed.)
Can you reject the claim that the proportion of 18 to 24-year-olds living in their parents' homes was the same for men and
women in 2000?
(1)
at the 5% significance level, there is (2).
evidence to (3).
the claim.
(1) O Yes
ONo
(2) O insufficient
(3)
support
sufficient
O reject
Transcribed Image Text:10. Refer to the figure at the right. At a =0.05, can you reject the claim that the proportion of 18 to 24-year-olds living in their parents' homes in 2000 was the same for men and women? Assume the survey included a random sample of 264 men and 256 women. Percentage of 18- to 24-year olds living in parents' homes 70-61.4% 56.1% 39.8% 38.9% 2000 2012 Men Women Identify the null and altenative hypotheses. Choose the correct answer below. O A. Ho: P1 #P2 Ha: P1 = P2 O B. Ho: P1 > P2 Ha: P1 SP2 OC. Ho:P1 <P2 OD. Ho: P1 = P2 Ha: P1 #P2 Ha: P1>P2 Find the critical value(s). The critical value(s) is(are) (Round to two decimal places as needed. Use a comma to separate answers as needed.) Find the standardized test statistic. (Round to two decimal places as needed.) Can you reject the claim that the proportion of 18 to 24-year-olds living in their parents' homes was the same for men and women in 2000? (1) at the 5% significance level, there is (2). evidence to (3). the claim. (1) O Yes ONo (2) O insufficient (3) support sufficient O reject
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Follow-up Question

Refer to the figure at the right. At

α=0.01​,

can you reject the claim that the proportion of 18 to​ 24-year-olds living in their​ parents' homes in

2000

was the same for men and​ women? Assume the survey included a random sample of

252

men and

248

women. 

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